Select the point that is located on the line: y = 3x - 5
Choices:
A.
(0, 3)
B.
(3, 0)
C.
(0, -5)
D.
(-5, 0)
To determine if a point is on the line, we substitute its coordinates into the equation and check if it satisfies the equation.
For point A, which has coordinates (0, 3), we substitute x = 0 and y = 3 into the equation y = 3x - 5:
3 = 3(0) - 5
3 = -5
This is false, so point A is not on the line.
For point B, which has coordinates (3, 0), we substitute x = 3 and y = 0 into the equation y = 3x - 5:
0 = 3(3) - 5
0 = 9 - 5
0 = 4
This is also false, so point B is not on the line.
For point C, which has coordinates (0, -5), we substitute x = 0 and y = -5 into the equation y = 3x - 5:
-5 = 3(0) - 5
-5 = -5
This is true, so point C is on the line.
For point D, which has coordinates (-5, 0), we substitute x = -5 and y = 0 into the equation y = 3x - 5:
0 = 3(-5) - 5
0 = -15 - 5
0 = -20
This is also false, so point D is not on the line.
Therefore, the point that is located on the line y = 3x - 5 is $\boxed{\text{(C) } (0, -5)}$.